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Mats Valk
MATS VALK (born 4 May 1996) is a Dutch Rubik\'s Cube speedsolver . He broke the Rubik's cube single solve world record twice with times of 5.55 seconds in 2013 and 4.74 seconds in 2016. He was runner-up for 3x3x3 at the Rubik's cube world championships in 2013 and 2015. Valk is currently ranked 5th in the world for 3x3x3 average, and has been ranked as high as 2nd
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Singapore
SINGAPORE (/ˈsɪŋəpɔːr/ ( listen ), /ˈsɪŋɡə-/ ), officially the REPUBLIC OF SINGAPORE, is a sovereign city-state and island country in Southeast Asia
Southeast Asia
. It lies one degree (137 kilometres or 85 miles) north of the equator , at the southern tip of the Malay Peninsula , with Indonesia
Indonesia
's Riau Islands to the south and Peninsular Malaysia
Malaysia
to the north. Singapore's territory consists of one main island along with 62 other islets . Since independence, extensive land reclamation has increased its total size by 23% (130 square kilometres or 50 square miles)
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Vrije Universiteit Amsterdam
VRIJE UNIVERSITEIT AMSTERDAM (abbreviated as VU, Dutch : Vrije Universiteit Amsterdam) is a university in Amsterdam
Amsterdam
, Netherlands
Netherlands
, founded in 1880. VU is one of two large, publicly funded research universities in the city, the other being the University
University
of Amsterdam (UvA).The literal translation of the Dutch name Vrije Universiteit is "Free University". "Free" refers to independence of the university from both the State and Church . Both within and outside the university, the institution is commonly referred to as "the VU" (pronounced somewhat like "vew" as in "new"). Although founded as a private institution, VU has received government funding on a parity basis with public universities since 1970. Over the past decades, VU has transformed from a small institution into a broad, research-intensive university attended by a wide variety of students of diverse backgrounds
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Amsterdam
AMSTERDAM (/ˈæmstərdæm/ ; Dutch: ( listen )) is the capital and most populous municipality of the Netherlands
Netherlands
. Its status as the capital is mandated by the Constitution of the Netherlands
Netherlands
, although it is not the seat of the government, which is The Hague
The Hague
. Amsterdam has a population of 851,373 within the city proper , 1,351,587 in the urban area , and 2,410,960 in the Amsterdam metropolitan area . The city is located in the province of North Holland in the west of the country but is not its capital, which is Haarlem
Haarlem
. The metropolitan area comprises much of the northern part of the Randstad , one of the larger conurbations in Europe
Europe
, with a population of approximately 7 million
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Budapest, Hungary
BUDAPEST (Hungarian: ( listen )) is the capital and by far the most populous city of Hungary
Hungary
and one of the largest cities in the European Union
European Union
. With an estimated 2016 population of 1,759,407 distributed over a land area of about 525 square kilometres (203 square miles), Budapest
Budapest
is also one of the most densely populated major cities in the EU. Budapest
Budapest
is both a city and county , and forms the centre of the Budapest metropolitan area , which has an area of 7,626 square kilometres (2,944 square miles) and a population of 3,303,786, comprising 33 percent of the population of Hungary. The Budapest metropolitan area had a GDP
GDP
of $141.0 billion (€129.4 billion) in 2016, accounting for 49.6 percent of the GDP
GDP
of Hungary
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Icosahedron
In geometry , an ICOSAHEDRON (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/ ) is a polyhedron with 20 faces. The name comes from Greek εἴκοσι (eíkosi), meaning 'twenty', and ἕδρα (hédra), meaning 'seat'. The plural can be either "icosahedra" (/-drə/ ) or "icosahedrons". There are many kinds of icosahedra, with some being more symmetrical than others. The best known is the Platonic , convex regular icosahedron
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Dodecahedron
In geometry , a DODECAHEDRON (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron , which is a Platonic solid
Platonic solid
. There are also three regular star dodecahedra , which are constructed as stellations of the convex form. All of these have icosahedral symmetry , order 120. The pyritohedron is an irregular pentagonal dodecahedron, having the same topology as the regular one but pyritohedral symmetry while the tetartoid has tetrahedral symmetry . The rhombic dodecahedron , seen as a limiting case of the pyritohedron, has octahedral symmetry . The elongated dodecahedron and trapezo-rhombic dodecahedron variations, along with the rhombic dodecahedra, are space-filling . There are a large number of other dodecahedra
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Tetrahedron
In geometry , a TETRAHEDRON (plural: TETRAHEDRA or TETRAHEDRONS), also known as a TRIANGULAR PYRAMID, is a polyhedron composed of four triangular faces , six straight edges , and four vertex corners . The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex , and may thus also be called a 3-SIMPLEX. The tetrahedron is one kind of pyramid , which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra , a tetrahedron can be folded from a single sheet of paper. It has two such nets
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Octahedron
In geometry , an OCTAHEDRON (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the REGULAR octahedron, a Platonic solid composed of eight equilateral triangles , four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube . It is a rectified tetrahedron . It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations. An octahedron is the three-dimensional case of the more general concept of a cross polytope . A regular octahedron is a 3-ball in the Manhattan (ℓ1) metric
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Panagiotis Verdes
PANAGIOTIS VERDES is the Greek inventor of the 6x6x6 , 7x7x7 , 8x8x8 and 9x9x9 Twisty Puzzles . He has also worked on new designs of every Twisty Puzzle from 2x2x2 to 11x11x11. INVENTIONS The V-Cube 6 in solved state The V-Cube 7 in solved state Prior to Verdes's invention, the 6x6x6 cube was thought to be impossible due to geometry constraints. Verdes's invention uses a completely different mechanism than the smaller Rubik's cubes; his mechanism is based on concentric, right-angle conical surfaces whose axes of rotation coincide with the semi-axes of the cube. The patents for the cubes were awarded in 2004, and mass-production began in 2008. Verdes's mechanism allows cubes of up to size 11x11x11, as larger cubes have geometrical constraints. REFERENCES * ^ A B C Slocum, Jerry (2009). The Cube: The Ultimate Guide to the World's Bestselling Puzzle. United States: Black Dog & Leventhal
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Roskilde
ROSKILDE (Danish pronunciation: ), located 30 km (19 mi) west of Copenhagen
Copenhagen
on the Danish island of Zealand , is the main city in Roskilde Municipality . With a population of 50,046 (as of 1 January 2016 ), the city is a business and educational centre for the region and the 10th largest city in Denmark. Roskilde
Roskilde
is governed by the administrative council of Roskilde Municipality . Roskilde
Roskilde
has a long history, dating from the pre-Christian Viking Age . Its UNESCO-listed Gothic cathedral , now housing 39 tombs of the Danish monarchs, was completed in 1275, becoming a focus of religious influence until the Reformation
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Nanyang Technological University
The NANYANG TECHNOLOGICAL UNIVERSITY ( Abbreviation
Abbreviation
: NTU) is an autonomous university in Singapore
Singapore
. NTU is consistently ranked amongst the world's best universities in all of the major college and university rankings and is regarded as one of the top universities in Asia. In the 2017/18 QS World University Rankings , NTU was ranked 11th in the world and 1st in Asia, surpassing rival university National University of Singapore
Singapore
for the very first time. In the 2016 Times Higher Education Asia University Rankings, NTU came in joint 2nd in Asia, with Peking University . NTU is a comprehensive and research-intensive university, with over 33,000 undergraduate and postgraduate students. The University is organized into eight colleges and schools
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Great Dodecahedron
In geometry , the GREAT DODECAHEDRON is a Kepler–Poinsot polyhedron , with Schläfli symbol
Schläfli symbol
{5,5/2} and Coxeter–Dynkin diagram
Coxeter–Dynkin diagram
of . It is one of four nonconvex regular polyhedra . It is composed of 12 pentagonal faces (six pairs of parallel pentagons), with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path. The discovery of the great dodecahedron is sometimes credited to Louis Poinsot
Louis Poinsot
in 1810, though there is a drawing of something very similar to a great dodecahedron in the 1568 book Perspectiva Corporum Regularium by Wenzel Jamnitzer
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Las Vegas, NV
LAS VEGAS (/lɑːs ˈveɪɡəs/ , Spanish for "The Meadows"), officially the CITY OF LAS VEGAS and often known simply as VEGAS, is the 28th-most populated city in the United States
United States
, the most populated city in the state of Nevada
Nevada
, and the county seat of Clark County . The city anchors the Las Vegas Valley
Las Vegas Valley
metropolitan area and is the largest city within the greater Mojave Desert
Mojave Desert
. Las Vegas is an internationally renowned major resort city , known primarily for its gambling, shopping, fine dining, entertainment, and nightlife. The Las Vegas Valley as a whole serves as the leading financial, commercial, and cultural center for Nevada. The city bills itself as The Entertainment Capital of the World , and is famous for its mega casino–hotels and associated activities
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São Paulo, Brazil
SãO PAULO (/ˌsaʊ ˈpaʊloʊ/ ; Portuguese pronunciation: ( listen ); Saint Paul in English) is a municipality in the southeast region of Brazil
Brazil
. The metropolis is an alpha global city —as listed by the GaWC —and is the most populous city in Brazil
Brazil
as well as in the Southern Hemisphere
Southern Hemisphere
. The municipality is also the largest in the Americas
Americas
and Earth\'s 12th largest city proper by population . The city is the capital of the surrounding state of São Paulo
São Paulo
, one of 26 constituent states of the republic. It is the most populous and wealthiest city in Brazil
Brazil
. It exerts strong international influences in commerce, finance, arts and entertainment. The name of the city honors the Apostle, Saint Paul of Tarsus
Paul of Tarsus

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Bangkok, Thailand
BANGKOK (UK : /bæŋˈkɒk/ , US : /ˈbæŋkɒk/ ) is the capital and most populous city of the Kingdom of Thailand
Thailand
. It is known in Thai as KRUNG THEP MAHA NAKHON (กรุงเทพมหานคร, pronounced ( listen )) or simply KRUNG THEP ( listen (help ·info )). The city occupies 1,568.7 square kilometres (605.7 sq mi) in the Chao Phraya River
Chao Phraya River
delta in Central Thailand
Thailand
, and has a population of over 8 million, or 12.6 percent of the country's population. Over 14 million people (22.2 percent) live within the surrounding Bangkok Metropolitan Region
Bangkok Metropolitan Region
, making Bangkok
Bangkok
an extreme primate city , significantly dwarfing Thailand's other urban centres in terms of importance
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